I don't force feed, and my management style (which I don't recommend for most) involves providing both high nutrition commercial mix briefly each day, and allowing them to free range forage acres of a biodiverse polyculture (meaning I have a lot of differing plant species, and who knows what insects) in a very forgiving climate all day long. They leave the hen house when they want and return to it (or not) when they feel like it. As result, its impossible to know how much any given bird is eating, or even the entirety of any bird's average diet. (I also have more predator loses than most would consider acceptable).
I rely on periodic culling and inspecting the internals to get a good sense of how my flock is doing nutritionally.
Molting is aided by increasing protein intake to aid feather replacement.
If all your birds stopped/greatly reduced eating, my first thought would be that you either had a change in feed (birds don't like change), or a problem with the feed (stored badly, usually prior to purchase, resulting in any number of potential "somethigns"), but if only one or two birds are doing it, that's likely not the issue.
I would lay off the sunflower seeds, they really aren't high protein, they are high fat. and I'm not fond of mealworms (better protein, still high fat - sourcing of them raises some concerns about what they might have been fed on). Eggs are fine. Good protein, good a/a balance. You could split a scrambled egg between the two birds every second or third day for the rest of their lives and have no serious concerns about imbalancing their diets. If you wanted to do so every day while they are molting and you are providing support, I know of no reason (other than cost) that would be cause for caution.
Sorry I can't add more. Poultry behavior is one of my weak areas. Poulty injury and illness, weaker still.
